MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 752

Preprint Number 752

Previous Next Preprint server


752. Pierre Simon (ICJ)
Rosenthal compacta and NIP formulas
E-mail:

Submission date: 22 July 2014.

Abstract:

We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about phi-types for phi NIP. In particular, we show that if M is a countable model, then an M-invariant phi-type is Borel definable. Also the space of M-invariant phi-types is a Rosenthal compactum, which implies a number of topological tameness properties.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1407.5761: pdf, ps.


Last updated: July 30 2014 09:08 Please send your corrections to: